A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

ZHANG Chuang; CHEN Si-Yu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(5) : 652-657

A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

ZHANG Chuang ^, ,
CHEN Si-Yu

Institute of High Energy Physics,Academia Sinica,Beijing

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Abstract：
The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.

References

[1]	A. W. Chao, M. J. Lee, and P. L. Morton: "Higher Order Multipole Magnet Tolerapces", IEEE Trans.NS-22, Vol. 3(1975), 6.[2] R. Servranchz: "Magnetic Field Quality Requirments for PEP", IEEE Trans. NS-24, Vol. 3(1977), 6

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ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657.

ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

ZHANG Chuang ^,
CHEN Si-Yu

Corresponding author: ZHANG Chuang,

Institute of High Energy Physics,Academia Sinica,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-10-05

Abstract: The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.